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Dynamic Shape Control of a Flying Cantilever by Piezoelectric Actuation
Author(s) -
Zehetner Ch.,
Irschik H.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310343
Subject(s) - cantilever , vibration , actuator , context (archaeology) , structural engineering , vibration control , inertial frame of reference , piezoelectricity , finite element method , coupling (piping) , acoustics , engineering , physics , classical mechanics , mechanical engineering , biology , paleontology , electrical engineering
The present contribution is concerned with active suppression of plane flexural vibrations of a cantilevered panel. The vibrations of the panel are produced by imposed forces and by a prescribed large rigid‐body motion of the cantilevered end, such that the panel appears to fly with respect to an inertial frame. The rigid body motion defines a floating reference configuration of the panel. With respect to the latter, the vibrations are assumed to remain in the elastic regime and to be moderately large. The cantilever is considered to be equipped with integrated piezoelectric actuators. It is the scope of the present paper to derive a spatial shape of these actuators such that the vibrations can be completely suppressed by the piezoelectric actuation. This inverse problem is exactly solved in the context of an equivalent single‐layer Kirchhoff‐theory for thin panels rigid in shear. Coupling to the electric field is taken into account. The presented solution of the shape‐control problem is intended to serve as a benchmark test for the field of intelligent wings. For comparison sake, 3‐dimensional Finite Element computations are performed.